Optimization in the Face of Contradictory Criteria – the Example of Muscle

Biological thought suggests that organisms tend toward optimal design through evolution. This optimization should be evident in the physiology of organs and organ systems. However, a given organ often has multiple roles to play in the optimization of the organism, and sometimes the logical optimization criteria for the different roles may be contradictory. In this paper we consider the case of skeletal muscle. One of its obvious functions is movement of the organism, for which efficiency is clearly a goal. However, muscle is also important for temperature regulation through shivering. In this latter function muscle should produce heat; i.e. it should be maximally inefficient. The thermodynamic optimizations desired for these two roles appear diametrically opposed. We show a way out of this dilemma by constructing a simple, physiologically motivated model of the contraction-relaxation cycle of muscle. This model muscle can be both an efficient mover in a ‘purposeful contraction’ regime, characterized by large movements of low frequency, and a good heat producer in a distinct ‘shivering’ regime characterized by small movements of high frequency.